1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olasank [31]
3 years ago
15

Solve this quadratic equation by completing the square x^2-8x+10=0

Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

x = 4 ± \sqrt{6}

Step-by-step explanation:

Given

x² - 8x + 10 = 0 ( subtract 10 from both sides )

x² - 8x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 10 + 16

(x - 4)² = 6 ( take the square root of both sides )

x - 4 = ± \sqrt{6} ( add 4 to both sides )

x = 4 ± \sqrt{6} ← exact solutions

You might be interested in
A bag contains 3 red marbles, 4 blue, 9 yellow, and 5 green. What is the probability of getting a yellow or a green?
galina1969 [7]

Answer:

2/3

Step-by-step explanation:

To find the probability, you first have to add up the total number of marbles in the bag.

3+4+9+5=21

Next you find the probability of getting a yellow:

9/21

Then you find the probability of getting a green:

5/21

And since the problem says "yellow <em>or</em> green" we will add the two together

9/21 + 5/21 = 14/21 = 2/3

5 0
3 years ago
Corey spent $17.00 including sales tax on 2 sandwiches and 3 drinks the sandwiches cost $5.25 each and the total sales tax was $
AlekseyPX
First we can subtract the sales tax so we are just working with what's left: $17 - $0.92 = $16.08. Then we multiply the price of the sandwiches by 2 for the number Corey bought: 5.25 x 2 = $10.50. Then subtract that amount from what you have left: $16.08 - 10.50 = 5.58. Then, take that amount and divide it by three drinks: $5.58 / 3(drinks) = $1.86 per drink. I don't see the table so I hope this answers the question well enough!:)
8 0
3 years ago
Read 2 more answers
X^2+y^2=1 yes or no relation represents a function or not
sleet_krkn [62]

We are asked to decide if the expression:

x^2 + y^2 = 1 represents a function.

We recall that in order to have a function, we need for a given value of x to have a SINGLE value of y associated with it.

So in this case, when x is 0 for example, we have the following:

0^2 + y^2 = 1

then y^2 = 1

and we realize that there are TWO values of y whose square form gives 1 (one is 1 and the other -1) Therefore, this relationship is NOT a function, since for example when x = 0 there are TWO values of y to which that x is associated (y = 1 and y = -1).

So please select that this is NOT a function for your answer.

6 0
1 year ago
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 10 points
lys-0071 [83]

\large\boxed{\tt Answer:~2\pi ~or~around~6.283~units}

\tt Step-by-step~explanation:

The equation for finding the circumference of a circle:

If the radius of this circle is 1, then that means the diameter is 2. We multiply 2 by π to get our answer: 2π or approximately 6.283.

7 0
3 years ago
Read 2 more answers
Natalie drew a solid that has six faces eight vertices and 12 edges what solid did Natalie draw
Monica [59]
I think Natlie drew a cube :)
5 0
3 years ago
Other questions:
  • You roll 1 die. Find the probability of the number you end up rolling being less than 5.
    14·1 answer
  • Which of the following is a factor of x4 + 5x3 - 4x2 - 8x + 6? <br> 2x+3<br> x-1<br> 2x-3<br> x+1
    6·2 answers
  • Sam was asked to place the numbers shown below in order from greatest to least.
    14·1 answer
  • A swimming pool is in the shape of a rectangular prism. It measures 15 feet by 12 feet by 8 feet. How many cubic feet of water a
    15·2 answers
  • PLease help asap I will give 5 stars please help
    9·1 answer
  • We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However,
    12·1 answer
  • Two triangles each have angles that measure 40° and 37° and a 5 cm side between those two angles are the two triangles congruent
    7·1 answer
  • A and B are corresponding angles the measure of A is 110 Find B
    13·1 answer
  • Volume of a square prism with faces of 3/8
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=3x%5E2%2B8x%2B4%3D0" id="TexFormula1" title="3x^2+8x+4=0" alt="3x^2+8x+4=0" align="absmiddle"
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!